An FM radio station has a frequency of 88.9 MHz (megahertz). What is the wavelength in meters?
Wavelength=speed of light / Frequency
WL=2.99792458 x 10^8 / 8.89 x 10^7
WL=3.37 meters-wavelength of the FM radio station.
+118724 An FM radio station has a frequency of 88.9 MHz (megahertz). What is the wavelength in meters?
So this is 88.9 *10^6 wavelengths per sec
The speed of radio waves is about 3*10^8 m/sec
\(\frac{3*10^8\;m}{1 sec} \times \frac{1sec}{88.9*10^6\;wavelengths}\\ \mbox{The seconds cancel out leaving you with}\\ =\frac{3*10^8\;m}{88.9*10^6\;wavelengths}\\ =\frac{3*10^2\;m}{88.9\;wavelengths}\\ =\frac{300\;m}{88.9\;wavelengths}\\ \approx \frac{3.375\;m}{1\;wavelengths}\\ \mbox{Wavelength is about 3.375m} \)
